Questions tagged [visual-proof]
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Plainly by eye, how can 16 year olds visually distinguish $\color{red}{\vec{b} - \vec{r}}$ from $\color{dodgerblue}{|\vec{b}| - |\vec{r}|}$?
Yearly, I teach 16 year olds this diagram beneath (improvement of this) that reappears on standardized tests IN BLACK AND WHITE below with different lengths, letters, and orientation. Tests require ...
user22729
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Visual aids for understanding group theory
I want ideas for pictorial representation of groups which can help one understand the different group theorems.
Here are some examples of the type of thing I am looking for. In this video by socratica ...
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What would you recommend for the math thinking course for school?
We're going to make a new math course for kids as intermediary between middle and high school with math profile (for preparation to entrance exams to high school), and before the main part (arithmetic,...
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Are there mathematical proof info-graphics?
I am teaching mathematical proof to kids (10th grade) and am of the opinion that proofs of theorems are a good place to start, where almost all of mathematics' important players come together.
On ...
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A formula for the area of a rectangle [closed]
This is a question about elementary geometry, so I think it belongs on this site.
Let $d$ be the length of a diagonal in a rectangle, and let $m$ be half the perimeter.
Then a formula for the area ...
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Styles of visualization in geometry
Some people talk about visual thinkers and non-visual thinkers, but I am interested in a contrast within styles of visual thinking. There are people who readily visualize complicated flow charts and ...
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The role of visualization and intuition in graduate and postgraduate math and developing it
[I am not an mathematics educator; but because the process of learning is educating yourself, I'm posting it here]
In Visual Complex Analysis's preface, the author gives an analogy with pseudo-deaf ...
user6330
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Given a 3 4 5 triangle, how do you know that it is a right triangle?
Without knowing the Pythagorean theorem, and in presenting reasons why the theorem might be true (without giving a full proof), is there any way to give examples of triangles that are intuitively ...
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About visual ways of teaching Math
There is a concept called 'Infographics' that uses lots of colourful diagrams and graphs and artwork to visually depict some set of concepts and tries to explain the ideas through pictures. I ...
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Visual representation of Cartesian Product of groups
I'm today trying to construct a lesson on theory and problems of group theory. A specification of this lesson would be to use as much visual representations as possible.
I have found some trivial ways ...
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Solidifying Bubble Surfaces
Dip a wire frame into a bubble mix and you have a bubble forming a minimal surface spanning the wire frame. These bubble surfaces have been used to demonstrate math and physics concepts like ...
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The Fundamental Theorem of Calculus and Vegetables
When I was an undergraduate, someone presented to me a proof of the Fundamental Theorem of Calculus using entirely vegetables. I found this incredibly fun at the time, but I can't remember who ...
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Visual Pythagorean demonstration
I know that there is a visual demonstration of $a^2+b^2=c^2$ using a smalĺ piece of paper, but there are also a lot of variations.
Which visual or drawing demonstration of the Pythagorean theorem can ...
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